Question

X в квадрате +5>4x-5 .помогите пж не понимаю как делать

Answer 1

Смотрим на предложенное первое решение!!! оно практически верно!!!убираем последнюю фразу о том, что решений нет, и пишем.... точек пересечения графика функции с осью Ох нет, значит график функции расположен в 1 и 2 четвертях
так как в условии задан знак больше, то геравенство справедливо при любом х

значит х принадлежит от минус бесконечности до плюс бесконечности

Answer 2

Х²+5>4х-5;
1)Переносишь всё в левую часть, меняя знаки на противоположные:
х²+5-4х+5>0;
х²-4х+10>0
2)Получаешь квадратное неравенство, корни ищем через дискриминант:
D=b²-4ac
D=4²-4×10=16-40=-24
т.к. D<0, то корней у неравенства нет!

Answer 3

Solving the Inequality X^2 + 5 > 4x - 5

To solve the inequality X^2 + 5 > 4x - 5, we can follow these steps:

1. Move all terms to one side of the inequality to set it to zero: - Subtract 4x and add 5 to both sides of the inequality to get: X^2 - 4x + 10 > 0.

2. Check if the quadratic expression can be factored: - We can use the discriminant to determine if the quadratic expression can be factored. The discriminant is given by b^2 - 4ac in the quadratic equation ax^2 + bx + c = 0.

3. Calculate the discriminant: - The coefficients in the quadratic expression are: a = 1, b = -4, and c = 10. - The discriminant is given by: (-4)^2 - 4*1*10 = 16 - 40 = -24.

4. Analyze the discriminant: - Since the discriminant is negative, the quadratic expression X^2 - 4x + 10 cannot be factored using real numbers.

5. Determine the nature of the solutions: - Since the discriminant is negative, the inequality X^2 - 4x + 10 > 0 will have complex solutions.

6. Use the quadratic formula to find the solutions: - The solutions to the inequality can be found using the quadratic formula: X = (-b ± √(b^2 - 4ac)) / (2a).

7. Apply the quadratic formula: - Substituting the values of a, b, and c into the quadratic formula, we get: - X = (-(-4) ± √((-4)^2 - 4*1*10)) / (2*1) - X = (4 ± √(-24)) / 2 - X = (4 ± 2√6i) / 2 - X = 2 ± √6i

Conclusion

The solutions to the inequality X^2 + 5 > 4x - 5 are complex numbers, specifically X = 2 + √6i and X = 2 - √6i. This means that the inequality is satisfied for complex values of X that satisfy this condition.